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Finding the Fourth Proportional to 686,534.40, 946,468.80 and 431,740.80

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Solution

The fourth proportional to 686,534.40, 946,468.80 and 431,740.80 is: 595,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,534.40 : 946,468.80 = 431,740.80 : x
  2. Step 2: Convert to fraction form
    686,534.40/946,468.80 = 431,740.80/x
  3. Step 3: Cross multiply
    686,534.40x = 946,468.80 × 431,740.80
  4. Step 4: Simplify right side
    686,534.40x = 408,629,196,887.04
  5. Step 5: Solve for x
    x = 408,629,196,887.04/686,534.40
  6. Step 6: Final answer
    x = 595,205.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.